Práctica 2. Tidymodels

Alejandro Noel Hernández Gutiérrez

2023_01_31

# Librerías importantes
library(tidyverse)
library(tidymodels)
library(doParallel)
# Tablas sencillas
library(kableExtra)
# Tablas páginadas customizadas
library(DT)
# Funcion para obtener datatable (datos, indice tabla, nombre)
custom_dt <- function(data, indice, nombre) {
  table_n <- paste("Table ", indice) 
  dt <- datatable(data,
                  caption = htmltools::tags$caption(
                  style = 'caption-side: bottom; text-align: center;',
                  table_n, htmltools::em(nombre)),
                  extensions = 'FixedColumns',
                  rownames= FALSE,
                  filter = 'top',
                  options = list(
                  pageLength = 5,
                  autoWidth = TRUE,
                  columnDefs = 
                  list(list(width = '300px', targets = c(0,7))),
                  scrollX = TRUE,
                  escape = T)
                  )
  return(dt)
}
custom_kable<- function(data) {
    kable(data, "html") %>% 
    kable_styling() %>% 
    scroll_box(
      width = "500px", 
      height = "200px")
}

Obtención y exploración de datos.

Para este ejercicio utilizaremos los datos de ames que se encuentra dentro de la paquetería de modeldata.

NOTA: Deben instalar primero el paquete de modeldata, luego ejecutar el comando de su librería (library(modeldata)) y para ejecutar los datos lo hacen con el comando data(ames).

library(modeldata)
data <- ames

custom_dt(data, 1, "Ames dataset.")

Exploración de datos con respecto a la flag (precio)

Summary

Aquí se pueden visualizar rápido las variables categóricas y continuas.

custom_kable(summary(data))
MS_SubClass MS_Zoning Lot_Frontage Lot_Area Street Alley Lot_Shape Land_Contour Utilities Lot_Config Land_Slope Neighborhood Condition_1 Condition_2 Bldg_Type House_Style Overall_Cond Year_Built Year_Remod_Add Roof_Style Roof_Matl Exterior_1st Exterior_2nd Mas_Vnr_Type Mas_Vnr_Area Exter_Cond Foundation Bsmt_Cond Bsmt_Exposure BsmtFin_Type_1 BsmtFin_SF_1 BsmtFin_Type_2 BsmtFin_SF_2 Bsmt_Unf_SF Total_Bsmt_SF Heating Heating_QC Central_Air Electrical First_Flr_SF Second_Flr_SF Gr_Liv_Area Bsmt_Full_Bath Bsmt_Half_Bath Full_Bath Half_Bath Bedroom_AbvGr Kitchen_AbvGr TotRms_AbvGrd Functional Fireplaces Garage_Type Garage_Finish Garage_Cars Garage_Area Garage_Cond Paved_Drive Wood_Deck_SF Open_Porch_SF Enclosed_Porch Three_season_porch Screen_Porch Pool_Area Pool_QC Fence Misc_Feature Misc_Val Mo_Sold Year_Sold Sale_Type Sale_Condition Sale_Price Longitude Latitude
One_Story_1946_and_Newer_All_Styles :1079 Floating_Village_Residential: 139 Min. : 0.00 Min. : 1300 Grvl: 12 Gravel : 120 Regular :1859 Bnk: 117 AllPub:2927 Corner : 511 Gtl:2789 North_Ames : 443 Norm :2522 Norm :2900 OneFam :2425 One_Story :1481 Average :1654 Min. :1872 Min. :1950 Flat : 20 CompShg:2887 VinylSd:1026 VinylSd:1015 BrkCmn : 25 Min. : 0.0 Excellent: 12 BrkTil: 311 Excellent : 3 Av : 418 ALQ :429 Min. :0.000 ALQ : 53 Min. : 0.00 Min. : 0.0 Min. : 0 Floor: 1 Excellent:1495 N: 196 FuseA : 188 Min. : 334.0 Min. : 0.0 Min. : 334 Min. :0.0000 Min. :0.00000 Min. :0.000 Min. :0.0000 Min. :0.000 Min. :0.000 Min. : 2.000 Typ :2728 Min. :0.0000 Attchd :1731 Fin : 728 Min. :0.000 Min. : 0.0 Excellent: 3 Dirt_Gravel : 216 Min. : 0.00 Min. : 0.00 Min. : 0.00 Min. : 0.000 Min. : 0 Min. : 0.000 Excellent: 4 Good_Privacy : 118 Elev: 1 Min. : 0.00 Min. : 1.000 Min. :2006 WD :2536 Abnorml: 190 Min. : 12789 Min. :-93.69 Min. :41.99
Two_Story_1946_and_Newer : 575 Residential_High_Density : 27 1st Qu.: 43.00 1st Qu.: 7440 Pave:2918 No_Alley_Access:2732 Slightly_Irregular : 979 HLS: 120 NoSeWa: 1 CulDSac: 180 Mod: 125 College_Creek : 267 Feedr : 164 Feedr : 13 TwoFmCon: 62 Two_Story : 873 Above_Average: 533 1st Qu.:1954 1st Qu.:1965 Gable :2321 Tar&Grv: 23 MetalSd: 450 MetalSd: 447 BrkFace: 880 1st Qu.: 0.0 Fair : 67 CBlock:1244 Fair : 104 Gd : 284 BLQ :269 1st Qu.:3.000 BLQ : 68 1st Qu.: 0.00 1st Qu.: 219.0 1st Qu.: 793 GasA :2885 Fair : 92 Y:2734 FuseF : 50 1st Qu.: 876.2 1st Qu.: 0.0 1st Qu.:1126 1st Qu.:0.0000 1st Qu.:0.00000 1st Qu.:1.000 1st Qu.:0.0000 1st Qu.:2.000 1st Qu.:1.000 1st Qu.: 5.000 Min2 : 70 1st Qu.:0.0000 Basment : 36 No_Garage: 159 1st Qu.:1.000 1st Qu.: 320.0 Fair : 74 Partial_Pavement: 62 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.00 1st Qu.: 0.000 1st Qu.: 0 1st Qu.: 0.000 Fair : 2 Good_Wood : 112 Gar2: 5 1st Qu.: 0.00 1st Qu.: 4.000 1st Qu.:2007 New : 239 AdjLand: 12 1st Qu.:129500 1st Qu.:-93.66 1st Qu.:42.02
One_and_Half_Story_Finished_All_Ages: 287 Residential_Low_Density :2273 Median : 63.00 Median : 9436 NA Paved : 78 Moderately_Irregular: 76 Low: 60 NoSewr: 2 FR2 : 85 Sev: 16 Old_Town : 239 Artery : 92 Artery : 5 Duplex : 109 One_and_Half_Fin: 314 Good : 390 Median :1973 Median :1993 Gambrel: 22 WdShake: 9 HdBoard: 442 HdBoard: 406 CBlock : 1 Median : 0.0 Good : 299 PConc :1310 Good : 122 Mn : 239 GLQ :859 Median :3.000 GLQ : 34 Median : 0.00 Median : 465.5 Median : 990 GasW : 27 Good : 476 NA FuseP : 8 Median :1084.0 Median : 0.0 Median :1442 Median :0.0000 Median :0.00000 Median :2.000 Median :0.0000 Median :3.000 Median :1.000 Median : 6.000 Min1 : 65 Median :1.0000 BuiltIn : 186 RFn : 812 Median :2.000 Median : 480.0 Good : 15 Paved :2652 Median : 0.00 Median : 27.00 Median : 0.00 Median : 0.000 Median : 0 Median : 0.000 Good : 4 Minimum_Privacy : 330 None:2824 Median : 0.00 Median : 6.000 Median :2008 COD : 87 Alloca : 24 Median :160000 Median :-93.64 Median :42.03
One_Story_PUD_1946_and_Newer : 192 Residential_Medium_Density : 462 Mean : 57.65 Mean : 10148 NA NA Irregular : 16 Lvl:2633 NA FR3 : 14 NA Edwards : 194 RRAn : 50 PosA : 4 Twnhs : 101 SLvl : 128 Very_Good : 144 Mean :1971 Mean :1984 Hip : 551 WdShngl: 7 Wd Sdng: 420 Wd Sdng: 397 None :1775 Mean : 101.1 Poor : 3 Slab : 49 No_Basement: 80 No :1906 LwQ :154 Mean :4.177 LwQ : 89 Mean : 49.71 Mean : 559.1 Mean :1051 Grav : 9 Poor : 3 NA Mix : 1 Mean :1159.6 Mean : 335.5 Mean :1500 Mean :0.4311 Mean :0.06109 Mean :1.567 Mean :0.3795 Mean :2.854 Mean :1.044 Mean : 6.443 Mod : 35 Mean :0.5993 CarPort : 15 Unf :1231 Mean :1.766 Mean : 472.7 No_Garage: 159 NA Mean : 93.75 Mean : 47.53 Mean : 23.01 Mean : 2.592 Mean : 16 Mean : 2.243 No_Pool :2917 Minimum_Wood_Wire: 12 Othr: 4 Mean : 50.63 Mean : 6.216 Mean :2008 ConLD : 26 Family : 46 Mean :180796 Mean :-93.64 Mean :42.03
One_Story_1945_and_Older : 139 A_agr : 2 3rd Qu.: 78.00 3rd Qu.: 11555 NA NA NA NA NA Inside :2140 NA Somerset : 182 PosN : 39 PosN : 4 TwnhsE : 233 SFoyer : 83 Below_Average: 101 3rd Qu.:2001 3rd Qu.:2004 Mansard: 11 ClyTile: 1 Plywood: 221 Plywood: 274 Stone : 249 3rd Qu.: 162.8 Typical :2549 Stone : 11 Poor : 5 No_Basement: 83 No_Basement: 80 3rd Qu.:7.000 No_Basement: 81 3rd Qu.: 0.00 3rd Qu.: 801.8 3rd Qu.:1302 OthW : 2 Typical : 864 NA SBrkr :2682 3rd Qu.:1384.0 3rd Qu.: 703.8 3rd Qu.:1743 3rd Qu.:1.0000 3rd Qu.:0.00000 3rd Qu.:2.000 3rd Qu.:1.0000 3rd Qu.:3.000 3rd Qu.:1.000 3rd Qu.: 7.000 Maj1 : 19 3rd Qu.:1.0000 Detchd : 782 NA 3rd Qu.:2.000 3rd Qu.: 576.0 Poor : 14 NA 3rd Qu.: 168.00 3rd Qu.: 70.00 3rd Qu.: 0.00 3rd Qu.: 0.000 3rd Qu.: 0 3rd Qu.: 0.000 Typical : 3 No_Fence :2358 Shed: 95 3rd Qu.: 0.00 3rd Qu.: 8.000 3rd Qu.:2009 CWD : 12 Normal :2413 3rd Qu.:213500 3rd Qu.:-93.62 3rd Qu.:42.05
Two_Story_PUD_1946_and_Newer : 129 C_all : 25 Max. :313.00 Max. :215245 NA NA NA NA NA NA NA Northridge_Heights: 166 RRAe : 28 RRNn : 2 NA Two_and_Half_Unf: 24 Fair : 50 Max. :2010 Max. :2010 Shed : 5 Membran: 1 CemntBd: 126 CmentBd: 126 NA Max. :1600.0 NA Wood : 5 Typical :2616 NA Rec :288 Max. :7.000 Rec : 106 Max. :1526.00 Max. :2336.0 Max. :6110 Wall : 6 NA NA Unknown: 1 Max. :5095.0 Max. :2065.0 Max. :5642 Max. :3.0000 Max. :2.00000 Max. :4.000 Max. :2.0000 Max. :8.000 Max. :3.000 Max. :15.000 Maj2 : 9 Max. :4.0000 More_Than_Two_Types: 23 NA Max. :5.000 Max. :1488.0 Typical :2665 NA Max. :1424.00 Max. :742.00 Max. :1012.00 Max. :508.000 Max. :576 Max. :800.000 NA NA TenC: 1 Max. :17000.00 Max. :12.000 Max. :2010 ConLI : 9 Partial: 245 Max. :755000 Max. :-93.58 Max. :42.06
(Other) : 529 I_all : 2 NA NA NA NA NA NA NA NA NA (Other) :1439 (Other): 35 (Other): 2 NA (Other) : 27 (Other) : 58 NA NA NA (Other): 2 (Other): 245 (Other): 265 NA NA NA NA NA NA Unf :851 NA Unf :2499 NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA (Other): 4 NA No_Garage : 157 NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA NA (Other): 21 NA NA NA NA

Visualización de MS_SubClass, para descubrir todas sus clases

La intención inicial era ver si se podía tomar las de repeticiones más bajas y catalogarlas como “other”, esto no se realiza.

kable(data %>% count(MS_SubClass, sort = TRUE), "html")
MS_SubClass n
One_Story_1946_and_Newer_All_Styles 1079
Two_Story_1946_and_Newer 575
One_and_Half_Story_Finished_All_Ages 287
One_Story_PUD_1946_and_Newer 192
One_Story_1945_and_Older 139
Two_Story_PUD_1946_and_Newer 129
Two_Story_1945_and_Older 128
Split_or_Multilevel 118
Duplex_All_Styles_and_Ages 109
Two_Family_conversion_All_Styles_and_Ages 61
Split_Foyer 48
Two_and_Half_Story_All_Ages 23
One_and_Half_Story_Unfinished_All_Ages 18
PUD_Multilevel_Split_Level_Foyer 17
One_Story_with_Finished_Attic_All_Ages 6
One_and_Half_Story_PUD_All_Ages 1

Revisar qué variables son factores

for (col in colnames(data)){
   s <- paste(col,":", class(data[[col]]))
   print(s)
}
## [1] "MS_SubClass : factor"
## [1] "MS_Zoning : factor"
## [1] "Lot_Frontage : numeric"
## [1] "Lot_Area : integer"
## [1] "Street : factor"
## [1] "Alley : factor"
## [1] "Lot_Shape : factor"
## [1] "Land_Contour : factor"
## [1] "Utilities : factor"
## [1] "Lot_Config : factor"
## [1] "Land_Slope : factor"
## [1] "Neighborhood : factor"
## [1] "Condition_1 : factor"
## [1] "Condition_2 : factor"
## [1] "Bldg_Type : factor"
## [1] "House_Style : factor"
## [1] "Overall_Cond : factor"
## [1] "Year_Built : integer"
## [1] "Year_Remod_Add : integer"
## [1] "Roof_Style : factor"
## [1] "Roof_Matl : factor"
## [1] "Exterior_1st : factor"
## [1] "Exterior_2nd : factor"
## [1] "Mas_Vnr_Type : factor"
## [1] "Mas_Vnr_Area : numeric"
## [1] "Exter_Cond : factor"
## [1] "Foundation : factor"
## [1] "Bsmt_Cond : factor"
## [1] "Bsmt_Exposure : factor"
## [1] "BsmtFin_Type_1 : factor"
## [1] "BsmtFin_SF_1 : numeric"
## [1] "BsmtFin_Type_2 : factor"
## [1] "BsmtFin_SF_2 : numeric"
## [1] "Bsmt_Unf_SF : numeric"
## [1] "Total_Bsmt_SF : numeric"
## [1] "Heating : factor"
## [1] "Heating_QC : factor"
## [1] "Central_Air : factor"
## [1] "Electrical : factor"
## [1] "First_Flr_SF : integer"
## [1] "Second_Flr_SF : integer"
## [1] "Gr_Liv_Area : integer"
## [1] "Bsmt_Full_Bath : numeric"
## [1] "Bsmt_Half_Bath : numeric"
## [1] "Full_Bath : integer"
## [1] "Half_Bath : integer"
## [1] "Bedroom_AbvGr : integer"
## [1] "Kitchen_AbvGr : integer"
## [1] "TotRms_AbvGrd : integer"
## [1] "Functional : factor"
## [1] "Fireplaces : integer"
## [1] "Garage_Type : factor"
## [1] "Garage_Finish : factor"
## [1] "Garage_Cars : numeric"
## [1] "Garage_Area : numeric"
## [1] "Garage_Cond : factor"
## [1] "Paved_Drive : factor"
## [1] "Wood_Deck_SF : integer"
## [1] "Open_Porch_SF : integer"
## [1] "Enclosed_Porch : integer"
## [1] "Three_season_porch : integer"
## [1] "Screen_Porch : integer"
## [1] "Pool_Area : integer"
## [1] "Pool_QC : factor"
## [1] "Fence : factor"
## [1] "Misc_Feature : factor"
## [1] "Misc_Val : integer"
## [1] "Mo_Sold : integer"
## [1] "Year_Sold : integer"
## [1] "Sale_Type : factor"
## [1] "Sale_Condition : factor"
## [1] "Sale_Price : integer"
## [1] "Longitude : numeric"
## [1] "Latitude : numeric"

Convertir una columna ejemplo a factor

En este ejemplo se visualiza de forma rápida como convertir una variable numérica a factor, se imprime la clase del dataframe original y del manipulado para ver la diferencia

de1 <- data %>% mutate(Lot_Frontage = as.factor(Lot_Frontage))
class(data$Lot_Frontage)
## [1] "numeric"
class(de1$Lot_Frontage )
## [1] "factor"

Todo el dataframe como factor

Esto termina sin usarse porque la receta hace ese procesamiento si es necesario

# lappply function is used with a list and performs the following operations
# in this case we convert all variables to factors
#df_factor <- data
#df_factor[] <-lapply(data, as.factor)

Tidymodels flujo

Definición del modelo

# División entrenamiento y prueba
set.seed(123)
split_inicial <- initial_split(
                    data   = data, # datos que queremos dividir
                    prop   = 0.8, # Proporción del 80%
                    strata = Sale_Price # Variable respuesta 
                 )
data_train <- training(split_inicial) # 80
data_test  <- testing(split_inicial)  # 20
# Revisar que la distribución sea similar con media y mediana
summary(data_train$Sale_Price)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   12789  129500  160000  179795  213500  745000
summary(data_test$Sale_Price)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   35000  129500  160250  184783  213350  755000

Optimización de hiperparámetros

Aplicar receta

all_predictors(), and all_outcomes() can be used to select variables in a formula that have certain roles.

The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted “Y” and the independent variables are denoted by “X”.

En español, estas se traducen como variable predictora y de respuesta. En nuestro caso, la variable de respuesta, dependiente o outcome es Sale_Price.

transformer <- recipe(
                  formula = Sale_Price ~ .,
                  data =  data_train
               ) %>%
  # Will remove observations if they contain NA or NaN values.
  step_naomit(all_predictors()) %>%
  # Identifica y elimina predictores con varianza 0
  step_nzv(all_predictors()) %>% 
  # Centralización de datos (desviación estandar)
  step_center(all_numeric(), -all_outcomes()) %>%
  # escalamiento es con variables numéricas
  step_scale(all_numeric(), -all_outcomes()) %>%
  # Quita multicolinealidad en R. Las nominales son las categóricas. 
  step_dummy(all_nominal(), -all_outcomes())

transformer
## Recipe
## 
## Inputs:
## 
##       role #variables
##    outcome          1
##  predictor         73
## 
## Operations:
## 
## Removing rows with NA values in all_predictors()
## Sparse, unbalanced variable filter on all_predictors()
## Centering for all_numeric(), -all_outcomes()
## Scaling for all_numeric(), -all_outcomes()
## Dummy variables from all_nominal(), -all_outcomes()

Entrenamiento de la receta

# Se entrena el objeto recipe
transformer_fit <- prep(transformer)

# Se aplican las transformaciones al conjunto de entrenamiento y de test
data_train_prep <- bake(transformer_fit, new_data = data_train)
data_test_prep  <- bake(transformer_fit, new_data = data_test)
kable(glimpse(data_train_prep), "html")
## Rows: 2,342
## Columns: 213
## $ Lot_Frontage                                          <dbl> 0.36776018, -1.0…
## $ Lot_Area                                              <dbl> -0.20848184, -1.…
## $ Year_Built                                            <dbl> -0.05673132, -0.…
## $ Year_Remod_Add                                        <dbl> -0.68776980, -0.…
## $ Mas_Vnr_Area                                          <dbl> -0.56978018, 2.2…
## $ BsmtFin_SF_1                                          <dbl> -1.4225371, 0.82…
## $ Bsmt_Unf_SF                                           <dbl> -1.26585952, -0.…
## $ Total_Bsmt_SF                                         <dbl> -0.37463948, -1.…
## $ First_Flr_SF                                          <dbl> -0.70800738, -1.…
## $ Second_Flr_SF                                         <dbl> -0.77689084, 0.3…
## $ Gr_Liv_Area                                           <dbl> -1.21519517, -1.…
## $ Bsmt_Full_Bath                                        <dbl> 1.0688790, -0.82…
## $ Bsmt_Half_Bath                                        <dbl> -0.2447658, -0.2…
## $ Full_Bath                                             <dbl> -1.0350779, -1.0…
## $ Half_Bath                                             <dbl> -0.7505082, 1.23…
## $ Bedroom_AbvGr                                         <dbl> -1.0440732, -1.0…
## $ TotRms_AbvGrd                                         <dbl> -1.5501931, -0.9…
## $ Fireplaces                                            <dbl> -0.9205995, -0.9…
## $ Garage_Cars                                           <dbl> 0.3157983, -1.00…
## $ Garage_Area                                           <dbl> 0.2554266, -0.96…
## $ Wood_Deck_SF                                          <dbl> 1.16140230, 1.43…
## $ Mo_Sold                                               <dbl> -0.79318487, -1.…
## $ Year_Sold                                             <dbl> 1.666407, 1.6664…
## $ Longitude                                             <dbl> 0.6145128, 0.608…
## $ Latitude                                              <dbl> 1.02936778, 0.94…
## $ Sale_Price                                            <int> 126000, 96000, 1…
## $ MS_SubClass_One_Story_1945_and_Older                  <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_One_Story_with_Finished_Attic_All_Ages    <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_One_and_Half_Story_Unfinished_All_Ages    <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_One_and_Half_Story_Finished_All_Ages      <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Two_Story_1946_and_Newer                  <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Two_Story_1945_and_Older                  <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Two_and_Half_Story_All_Ages               <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Split_or_Multilevel                       <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Split_Foyer                               <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Duplex_All_Styles_and_Ages                <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_One_Story_PUD_1946_and_Newer              <dbl> 0, 0, 0, 0, 1, 1…
## $ MS_SubClass_One_and_Half_Story_PUD_All_Ages           <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Two_Story_PUD_1946_and_Newer              <dbl> 0, 1, 1, 1, 0, 0…
## $ MS_SubClass_PUD_Multilevel_Split_Level_Foyer          <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_SubClass_Two_Family_conversion_All_Styles_and_Ages <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_Zoning_Residential_High_Density                    <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_Zoning_Residential_Low_Density                     <dbl> 1, 0, 0, 0, 1, 1…
## $ MS_Zoning_Residential_Medium_Density                  <dbl> 0, 1, 1, 1, 0, 0…
## $ MS_Zoning_A_agr                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_Zoning_C_all                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ MS_Zoning_I_all                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Shape_Slightly_Irregular                          <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Shape_Moderately_Irregular                        <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Shape_Irregular                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Config_CulDSac                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Config_FR2                                        <dbl> 0, 0, 0, 0, 0, 1…
## $ Lot_Config_FR3                                        <dbl> 0, 0, 0, 0, 0, 0…
## $ Lot_Config_Inside                                     <dbl> 0, 1, 1, 1, 1, 0…
## $ Neighborhood_College_Creek                            <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Old_Town                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Edwards                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Somerset                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Northridge_Heights                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Gilbert                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Sawyer                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Northwest_Ames                           <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Sawyer_West                              <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Mitchell                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Brookside                                <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Crawford                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Iowa_DOT_and_Rail_Road                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Timberland                               <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Northridge                               <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Stone_Brook                              <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_South_and_West_of_Iowa_State_University  <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Clear_Creek                              <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Meadow_Village                           <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Briardale                                <dbl> 0, 1, 1, 1, 0, 0…
## $ Neighborhood_Bloomington_Heights                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Veenker                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Northpark_Villa                          <dbl> 0, 0, 0, 0, 1, 1…
## $ Neighborhood_Blueste                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Greens                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Green_Hills                              <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Landmark                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Neighborhood_Hayden_Lake                              <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_Feedr                                     <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_Norm                                      <dbl> 1, 1, 1, 1, 1, 1…
## $ Condition_1_PosA                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_PosN                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_RRAe                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_RRAn                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_RRNe                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Condition_1_RRNn                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Bldg_Type_TwoFmCon                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Bldg_Type_Duplex                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Bldg_Type_Twnhs                                       <dbl> 0, 1, 1, 1, 0, 1…
## $ Bldg_Type_TwnhsE                                      <dbl> 0, 0, 0, 0, 1, 0…
## $ House_Style_One_and_Half_Unf                          <dbl> 0, 0, 0, 0, 0, 0…
## $ House_Style_One_Story                                 <dbl> 1, 0, 0, 0, 1, 1…
## $ House_Style_SFoyer                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ House_Style_SLvl                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ House_Style_Two_and_Half_Fin                          <dbl> 0, 0, 0, 0, 0, 0…
## $ House_Style_Two_and_Half_Unf                          <dbl> 0, 0, 0, 0, 0, 0…
## $ House_Style_Two_Story                                 <dbl> 0, 1, 1, 1, 0, 0…
## $ Overall_Cond_Poor                                     <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Fair                                     <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Below_Average                            <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Average                                  <dbl> 1, 1, 1, 1, 1, 0…
## $ Overall_Cond_Above_Average                            <dbl> 0, 0, 0, 0, 0, 1…
## $ Overall_Cond_Good                                     <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Very_Good                                <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Excellent                                <dbl> 0, 0, 0, 0, 0, 0…
## $ Overall_Cond_Very_Excellent                           <dbl> 0, 0, 0, 0, 0, 0…
## $ Roof_Style_Gable                                      <dbl> 1, 1, 1, 1, 1, 1…
## $ Roof_Style_Gambrel                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Roof_Style_Hip                                        <dbl> 0, 0, 0, 0, 0, 0…
## $ Roof_Style_Mansard                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Roof_Style_Shed                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_AsphShn                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_BrkComm                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_BrkFace                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_CBlock                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_CemntBd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_HdBoard                                  <dbl> 0, 1, 1, 1, 0, 0…
## $ Exterior_1st_ImStucc                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_MetalSd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_Plywood                                  <dbl> 1, 0, 0, 0, 1, 1…
## $ Exterior_1st_PreCast                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_Stone                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_Stucco                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_VinylSd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_Wd.Sdng                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_1st_WdShing                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_AsphShn                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Brk.Cmn                                  <dbl> 0, 0, 0, 0, 0, 1…
## $ Exterior_2nd_BrkFace                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_CBlock                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_CmentBd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_HdBoard                                  <dbl> 0, 1, 1, 0, 0, 0…
## $ Exterior_2nd_ImStucc                                  <dbl> 0, 0, 0, 1, 0, 0…
## $ Exterior_2nd_MetalSd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Other                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Plywood                                  <dbl> 1, 0, 0, 0, 1, 0…
## $ Exterior_2nd_PreCast                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Stone                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Stucco                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_VinylSd                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Wd.Sdng                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Exterior_2nd_Wd.Shng                                  <dbl> 0, 0, 0, 0, 0, 0…
## $ Mas_Vnr_Type_BrkFace                                  <dbl> 0, 1, 1, 1, 0, 0…
## $ Mas_Vnr_Type_CBlock                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Mas_Vnr_Type_None                                     <dbl> 1, 0, 0, 0, 1, 1…
## $ Mas_Vnr_Type_Stone                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Exter_Cond_Fair                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Exter_Cond_Good                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Exter_Cond_Poor                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Exter_Cond_Typical                                    <dbl> 1, 1, 1, 1, 1, 1…
## $ Foundation_CBlock                                     <dbl> 1, 1, 1, 1, 1, 1…
## $ Foundation_PConc                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Foundation_Slab                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Foundation_Stone                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Foundation_Wood                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Bsmt_Exposure_Gd                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Bsmt_Exposure_Mn                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Bsmt_Exposure_No                                      <dbl> 1, 1, 1, 1, 1, 1…
## $ Bsmt_Exposure_No_Basement                             <dbl> 0, 0, 0, 0, 0, 0…
## $ BsmtFin_Type_1_BLQ                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ BsmtFin_Type_1_GLQ                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ BsmtFin_Type_1_LwQ                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ BsmtFin_Type_1_No_Basement                            <dbl> 0, 0, 0, 0, 0, 0…
## $ BsmtFin_Type_1_Rec                                    <dbl> 0, 1, 1, 0, 0, 0…
## $ BsmtFin_Type_1_Unf                                    <dbl> 0, 0, 0, 1, 0, 1…
## $ Heating_QC_Fair                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Heating_QC_Good                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Heating_QC_Poor                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Heating_QC_Typical                                    <dbl> 1, 1, 1, 1, 1, 0…
## $ Central_Air_Y                                         <dbl> 1, 1, 1, 1, 1, 1…
## $ Electrical_FuseF                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Electrical_FuseP                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Electrical_Mix                                        <dbl> 0, 0, 0, 0, 0, 0…
## $ Electrical_SBrkr                                      <dbl> 1, 1, 1, 1, 1, 1…
## $ Electrical_Unknown                                    <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Type_Basment                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Type_BuiltIn                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Type_CarPort                                   <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Type_Detchd                                    <dbl> 0, 1, 1, 1, 0, 0…
## $ Garage_Type_More_Than_Two_Types                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Type_No_Garage                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Finish_No_Garage                               <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Finish_RFn                                     <dbl> 0, 0, 0, 0, 1, 0…
## $ Garage_Finish_Unf                                     <dbl> 0, 1, 1, 1, 0, 1…
## $ Garage_Cond_Fair                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Cond_Good                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Cond_No_Garage                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Cond_Poor                                      <dbl> 0, 0, 0, 0, 0, 0…
## $ Garage_Cond_Typical                                   <dbl> 1, 1, 1, 1, 1, 1…
## $ Paved_Drive_Partial_Pavement                          <dbl> 0, 0, 0, 0, 0, 0…
## $ Paved_Drive_Paved                                     <dbl> 1, 1, 1, 1, 1, 1…
## $ Fence_Good_Wood                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Fence_Minimum_Privacy                                 <dbl> 1, 0, 0, 0, 0, 0…
## $ Fence_Minimum_Wood_Wire                               <dbl> 0, 0, 0, 0, 0, 0…
## $ Fence_No_Fence                                        <dbl> 0, 1, 1, 1, 1, 1…
## $ Sale_Type_Con                                         <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_ConLD                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_ConLI                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_ConLw                                       <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_CWD                                         <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_New                                         <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_Oth                                         <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_VWD                                         <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Type_WD.                                         <dbl> 1, 0, 1, 1, 1, 1…
## $ Sale_Condition_AdjLand                                <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Condition_Alloca                                 <dbl> 0, 0, 0, 0, 0, 0…
## $ Sale_Condition_Family                                 <dbl> 0, 0, 0, 1, 0, 0…
## $ Sale_Condition_Normal                                 <dbl> 1, 1, 1, 0, 1, 1…
## $ Sale_Condition_Partial                                <dbl> 0, 0, 0, 0, 0, 0…
Lot_Frontage Lot_Area Year_Built Year_Remod_Add Mas_Vnr_Area BsmtFin_SF_1 Bsmt_Unf_SF Total_Bsmt_SF First_Flr_SF Second_Flr_SF Gr_Liv_Area Bsmt_Full_Bath Bsmt_Half_Bath Full_Bath Half_Bath Bedroom_AbvGr TotRms_AbvGrd Fireplaces Garage_Cars Garage_Area Wood_Deck_SF Mo_Sold Year_Sold Longitude Latitude Sale_Price MS_SubClass_One_Story_1945_and_Older MS_SubClass_One_Story_with_Finished_Attic_All_Ages MS_SubClass_One_and_Half_Story_Unfinished_All_Ages MS_SubClass_One_and_Half_Story_Finished_All_Ages MS_SubClass_Two_Story_1946_and_Newer MS_SubClass_Two_Story_1945_and_Older MS_SubClass_Two_and_Half_Story_All_Ages MS_SubClass_Split_or_Multilevel MS_SubClass_Split_Foyer MS_SubClass_Duplex_All_Styles_and_Ages MS_SubClass_One_Story_PUD_1946_and_Newer MS_SubClass_One_and_Half_Story_PUD_All_Ages MS_SubClass_Two_Story_PUD_1946_and_Newer MS_SubClass_PUD_Multilevel_Split_Level_Foyer MS_SubClass_Two_Family_conversion_All_Styles_and_Ages MS_Zoning_Residential_High_Density MS_Zoning_Residential_Low_Density MS_Zoning_Residential_Medium_Density MS_Zoning_A_agr MS_Zoning_C_all MS_Zoning_I_all Lot_Shape_Slightly_Irregular Lot_Shape_Moderately_Irregular Lot_Shape_Irregular Lot_Config_CulDSac Lot_Config_FR2 Lot_Config_FR3 Lot_Config_Inside Neighborhood_College_Creek Neighborhood_Old_Town Neighborhood_Edwards Neighborhood_Somerset Neighborhood_Northridge_Heights Neighborhood_Gilbert Neighborhood_Sawyer Neighborhood_Northwest_Ames Neighborhood_Sawyer_West Neighborhood_Mitchell Neighborhood_Brookside Neighborhood_Crawford Neighborhood_Iowa_DOT_and_Rail_Road Neighborhood_Timberland Neighborhood_Northridge Neighborhood_Stone_Brook Neighborhood_South_and_West_of_Iowa_State_University Neighborhood_Clear_Creek Neighborhood_Meadow_Village Neighborhood_Briardale Neighborhood_Bloomington_Heights Neighborhood_Veenker Neighborhood_Northpark_Villa Neighborhood_Blueste Neighborhood_Greens Neighborhood_Green_Hills Neighborhood_Landmark Neighborhood_Hayden_Lake Condition_1_Feedr Condition_1_Norm Condition_1_PosA Condition_1_PosN Condition_1_RRAe Condition_1_RRAn Condition_1_RRNe Condition_1_RRNn Bldg_Type_TwoFmCon Bldg_Type_Duplex Bldg_Type_Twnhs Bldg_Type_TwnhsE House_Style_One_and_Half_Unf House_Style_One_Story House_Style_SFoyer House_Style_SLvl House_Style_Two_and_Half_Fin House_Style_Two_and_Half_Unf House_Style_Two_Story Overall_Cond_Poor Overall_Cond_Fair Overall_Cond_Below_Average Overall_Cond_Average Overall_Cond_Above_Average Overall_Cond_Good Overall_Cond_Very_Good Overall_Cond_Excellent Overall_Cond_Very_Excellent Roof_Style_Gable Roof_Style_Gambrel Roof_Style_Hip Roof_Style_Mansard Roof_Style_Shed Exterior_1st_AsphShn Exterior_1st_BrkComm Exterior_1st_BrkFace Exterior_1st_CBlock Exterior_1st_CemntBd Exterior_1st_HdBoard Exterior_1st_ImStucc Exterior_1st_MetalSd Exterior_1st_Plywood Exterior_1st_PreCast Exterior_1st_Stone Exterior_1st_Stucco Exterior_1st_VinylSd Exterior_1st_Wd.Sdng Exterior_1st_WdShing Exterior_2nd_AsphShn Exterior_2nd_Brk.Cmn Exterior_2nd_BrkFace Exterior_2nd_CBlock Exterior_2nd_CmentBd Exterior_2nd_HdBoard Exterior_2nd_ImStucc Exterior_2nd_MetalSd Exterior_2nd_Other Exterior_2nd_Plywood Exterior_2nd_PreCast Exterior_2nd_Stone Exterior_2nd_Stucco Exterior_2nd_VinylSd Exterior_2nd_Wd.Sdng Exterior_2nd_Wd.Shng Mas_Vnr_Type_BrkFace Mas_Vnr_Type_CBlock Mas_Vnr_Type_None Mas_Vnr_Type_Stone Exter_Cond_Fair Exter_Cond_Good Exter_Cond_Poor Exter_Cond_Typical Foundation_CBlock Foundation_PConc Foundation_Slab Foundation_Stone Foundation_Wood Bsmt_Exposure_Gd Bsmt_Exposure_Mn Bsmt_Exposure_No Bsmt_Exposure_No_Basement BsmtFin_Type_1_BLQ BsmtFin_Type_1_GLQ BsmtFin_Type_1_LwQ BsmtFin_Type_1_No_Basement BsmtFin_Type_1_Rec BsmtFin_Type_1_Unf Heating_QC_Fair Heating_QC_Good Heating_QC_Poor Heating_QC_Typical Central_Air_Y Electrical_FuseF Electrical_FuseP Electrical_Mix Electrical_SBrkr Electrical_Unknown Garage_Type_Basment Garage_Type_BuiltIn Garage_Type_CarPort Garage_Type_Detchd Garage_Type_More_Than_Two_Types Garage_Type_No_Garage Garage_Finish_No_Garage Garage_Finish_RFn Garage_Finish_Unf Garage_Cond_Fair Garage_Cond_Good Garage_Cond_No_Garage Garage_Cond_Poor Garage_Cond_Typical Paved_Drive_Partial_Pavement Paved_Drive_Paved Fence_Good_Wood Fence_Minimum_Privacy Fence_Minimum_Wood_Wire Fence_No_Fence Sale_Type_Con Sale_Type_ConLD Sale_Type_ConLI Sale_Type_ConLw Sale_Type_CWD Sale_Type_New Sale_Type_Oth Sale_Type_VWD Sale_Type_WD. Sale_Condition_AdjLand Sale_Condition_Alloca Sale_Condition_Family Sale_Condition_Normal Sale_Condition_Partial
0.3677602 -0.2084818 -0.0567313 -0.6877698 -0.5697802 -1.4225371 -1.2658595 -0.3746395 -0.7080074 -0.7768908 -1.2151952 1.0688790 -0.2447658 -1.0350779 -0.7505082 -1.0440732 -1.5501931 -0.9205995 0.3157983 0.2554266 1.1614023 -0.7931849 1.6664066 0.6145128 1.0293678 126000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0
-1.0806379 -1.0025550 -0.0231881 -0.6395161 2.2265007 0.8239780 -0.5219769 -1.2641505 -1.7134268 0.3956573 -1.0094705 -0.8261358 -0.2447658 -1.0350779 1.2333408 -1.0440732 -0.9173620 -0.9205995 -1.0049154 -0.9690754 1.4374760 -1.5306358 1.6664066 0.6083353 0.9444620 96000 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0
-1.0806379 -1.0025550 -0.0231881 -0.6395161 2.1599226 0.8239780 -0.7540137 -1.1705178 -1.6075931 0.5422258 -0.8037458 -0.8261358 -0.2447658 -1.0350779 1.2333408 0.1586909 -0.2845308 -0.9205995 -1.0049154 -0.7063470 -0.7316744 -1.1619104 1.6664066 0.5980396 0.9362436 105500 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0
-1.0806379 -1.0025550 -0.0231881 -0.6395161 1.5440750 1.2732810 -0.0715525 -1.1705178 -1.6075931 0.5422258 -0.8037458 -0.8261358 -0.2447658 -1.0350779 1.2333408 0.1586909 -0.2845308 -0.9205995 -1.0049154 -0.9690754 -0.7316744 -1.1619104 1.6664066 0.6079857 0.9362980 88000 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0
-0.1347453 -0.7233296 0.1780713 -0.3499939 -0.5697802 -1.4225371 0.3470236 0.0422492 -0.2367958 -0.7768908 -0.8488093 -0.8261358 -0.2447658 0.7739911 -0.7505082 -1.0440732 -1.5501931 0.6139514 0.3157983 -0.1433576 -0.7316744 0.3129916 1.6664066 0.6098505 0.8267369 127500 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0
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0.6042333 -0.3715504 0.8489361 0.6150802 0.5398551 -0.5239311 -1.1634903 0.5304770 0.5166388 -0.7768908 -0.2629839 2.9638938 -0.2447658 0.7739911 -0.7505082 -1.0440732 0.9811315 -0.9205995 2.9572258 1.4705454 -0.7316744 1.7878935 -1.3560323 1.3437239 -2.2419533 215000 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0

Tenemos entonces 212 predictores y la variable respuesta Sale_Price

Workflows con definición del modelo, optimización de hiperparámetros (bayesiana) , validación cruzada, entrenamiento y predicción

Predicción del precio SVM tidymodels

# Definición del modelo y los hiperparámetros a optimizar
modelo_svm <- svm_rbf(
  mode      = "regression",
  cost      = tune(),
  rbf_sigma = tune(),
  margin    = tune()
  ) %>%
  set_engine(engine = "kernlab")
# Procesado
transformer <- recipe(
  formula = Sale_Price ~ .,
  data =  data_train ) %>%
  # Will remove observations if they contain NA or NaN values.
  step_naomit(all_predictors()) %>%
  # Identifica y elimina predictores con varianza 0
  step_nzv(all_predictors()) %>% 
  # Centralización de datos (desviación estandar)
  step_center(all_numeric(), -all_outcomes()) %>%
  # escalamiento es con variables numéricas
  step_scale(all_numeric(), -all_outcomes()) %>%
  # Quita multicolinealidad en R. Las nominales son las categóricas. 
  step_dummy(all_nominal(), -all_outcomes())
# Estrategia de validación y creación de particiones
set.seed(1234)
cv_folds <- vfold_cv(
              data    = data_train,
              v       = 5,
              strata  = Sale_Price
             )
# Workflow
workflow_modelado <- workflow() %>%
  add_recipe(transformer) %>%
  add_model(modelo_svm)
# Grid hiperparámetros
hiperpar_grid <- grid_random(
  # Rango de búsqueda para cada hiperparámetro
  cost(range = c(-10, -1), trans = log2_trans()),
  rbf_sigma(range = c(-10, 0), trans = log10_trans()),
  svm_margin(range = c(0, 0.2), trans = NULL), 
  # Número de combinaciones totales
  size = 100)
# Optimización de hiperparámetros
registerDoParallel(cores = parallel::detectCores() - 1)
grid_fit <- tune_grid(
              object    = workflow_modelado,
              resamples = cv_folds,
              metrics   = metric_set(rmse),
              control   = control_resamples(save_pred = TRUE),
              # Hiperparámetros
              grid      = hiperpar_grid
            )
stopImplicitCluster()
# Mostramos los hiperparámetros obtenidos en la optimización
custom_dt(show_best(grid_fit, metric = "rmse", n = 10), 2, "SVM Resultados de la optimización")
# Utilizamos los hiperparámetros óptimos para el modelo
best_hiper <- select_best(grid_fit, metric = "rmse")

modelo_svm <- finalize_workflow(
                  x = workflow_modelado,
                  parameters = best_hiper
              )

modelo_svm_fit <- modelo_svm %>%
                  fit(
                    data = data_train
                  )
## Warning in .local(x, ...): Variable(s) `' constant. Cannot scale data.
# Guardar las predicciones del test
predicciones <- modelo_svm_fit %>%
                predict(
                  new_data = data_test,
                  type     = "numeric"
                )
# Encontrar el error
predicciones <- predicciones %>% 
                bind_cols(data_test_prep %>% select(Sale_Price))

error_test_svm <- rmse(
                     data     = predicciones,
                     truth    = Sale_Price,
                     estimate = .pred,
                     na_rm    = TRUE
                   ) %>%
                   mutate(
                     modelo = "SVM"
                   )
error_test_svm
## # A tibble: 1 × 4
##   .metric .estimator .estimate modelo
##   <chr>   <chr>          <dbl> <chr> 
## 1 rmse    standard      89491. SVM
# Visualizar las predicciones
kable(predicciones)
.pred Sale_Price
159977.6 105000
160006.4 172000
160082.1 189900
159982.6 115000
160105.2 395192
160086.3 214000
160072.7 611657
160065.3 175500
160073.5 184500
160080.2 333168
160106.6 325000
160110.6 290000
160061.2 204500
160004.7 99500
160046.4 171000
160008.0 148000
160037.2 151000
160019.0 206000
159988.2 116500
159983.0 136000
159960.2 122500
159969.9 129000
160011.1 144000
159988.5 148000
160037.2 192000
159972.8 115000
159996.5 150000
159972.2 125500
160022.4 122500
159990.9 140750
159991.8 128500
160019.4 209500
159975.3 139900
160007.0 159900
160034.2 173000
159986.8 100000
160010.3 114900
160029.1 136000
160009.0 131500
160026.5 121500
160047.1 158900
159971.0 85000
160034.1 260000
160028.2 124000
159968.7 83000
160045.9 270000
160065.8 218000
160098.5 236000
160001.4 155000
159982.1 127000
160085.6 213000
160078.4 185500
159989.3 113000
159988.8 127000
160033.6 160000
160043.9 257500
159967.1 82000
160005.3 169000
160025.9 139000
159992.0 83500
159987.6 88250
159982.1 130000
160051.5 159000
159958.6 124500
160089.0 189500
160104.8 377500
160059.8 168500
160060.7 174000
160052.1 180500
160066.9 185000
160052.2 215000
160079.6 249000
160060.5 187500
160065.0 184000
160035.7 165000
160010.4 128000
160029.1 148500
160089.4 325000
160097.9 402861
160074.9 582933
160102.0 360000
160112.8 335000
160104.6 269500
160106.7 382500
160095.6 320000
160087.2 184000
160094.0 174000
160081.6 181000
160099.9 189500
160069.8 184100
160090.6 195500
160100.5 257500
160086.1 190000
160100.2 245000
160092.1 265000
160104.4 252678
160074.4 225000
160108.3 252000
160081.1 234500
160053.4 159000
160053.5 153000
160084.2 224243
159987.1 141000
159996.6 131400
159992.8 123000
160054.0 173733
160013.4 154000
160037.0 185750
160070.7 206000
160026.9 162000
160040.8 167900
160069.2 227000
159984.4 130000
160015.4 161500
159976.3 141500
159948.1 118000
160021.8 140000
160023.8 174500
159978.8 147000
160058.6 205000
160028.9 156500
159992.5 149500
160023.8 153000
160014.5 164900
159996.8 102900
159950.9 99900
160030.0 149000
159969.3 114000
159978.7 109500
159965.0 125000
159972.5 105000
159960.7 106000
159992.0 163000
159988.4 128500
159952.7 118900
159963.3 80000
159982.3 119000
159971.3 58500
160005.8 143000
159973.5 93000
159985.8 141500
159984.8 150000
160024.7 126500
160016.9 159900
159986.8 103600
159998.4 139000
159982.9 135000
160043.4 190000
159992.8 122000
160020.3 127500
160015.3 131000
160109.6 297000
160098.0 295493
160109.3 332000
160100.3 212000
160086.2 200000
160101.5 237000
160093.2 233500
160048.5 185000
160031.6 152000
160084.7 227000
160080.9 203000
160103.7 254750
160082.3 236500
160085.0 211000
160077.4 170000
160096.3 320000
159982.8 159434
159991.4 105000
160036.4 135000
160008.7 155000
159999.4 145000
160033.4 234000
159999.7 160000
159983.9 163500
159984.3 144800
160006.4 158500
160002.4 121000
160091.7 315500
160078.5 224500
160079.6 316500
160057.9 220000
160080.3 170000
159987.9 91000
159987.2 86000
160020.2 143000
160014.2 130000
160036.4 173000
160097.5 192000
160056.3 177900
160066.4 247900
160087.9 183000
160082.6 188000
160102.1 355000
160105.1 325000
160088.9 334000
160053.1 220000
160038.0 180000
159970.4 111900
160004.3 103400
160002.8 100500
159978.2 106000
160121.4 426000
160078.1 385000
160093.7 372402
160111.1 383000
160110.1 390000
160114.2 379000
160122.9 316000
160072.9 421250
160090.2 336860
160075.2 219500
160088.2 219990
160098.9 213000
160091.3 185900
160103.5 245000
160084.0 212700
160104.1 250000
160073.5 205950
160090.9 207500
160084.0 173000
160064.1 163000
159991.8 128000
159975.7 115000
159968.4 119916
160014.5 140000
160046.3 171900
160042.3 146000
160065.5 285000
160063.3 200000
160050.1 245500
160040.1 217500
160024.2 162500
160051.4 174000
160008.5 147000
160040.9 142600
160032.5 173000
159993.8 140000
160035.7 179900
160001.7 141000
159962.0 112900
160021.4 165000
159973.9 124000
159978.6 140000
159997.9 163000
160029.9 166000
159969.0 130000
159994.9 106250
160032.5 171000
160025.3 186000
159989.8 148000
159963.6 98300
159983.7 125900
159975.7 155000
159961.3 105500
159951.7 115000
159987.0 147000
159996.8 140000
159967.7 46500
160004.6 129500
159995.1 129400
160005.9 161000
159998.3 128000
159960.1 116900
160052.1 325000
159970.6 55000
160035.5 184000
160009.7 131500
159969.6 97000
159960.9 115500
159992.1 108000
159970.3 124000
159982.7 106900
159979.0 119000
160012.0 162900
160007.2 123500
159994.7 184000
159973.0 130000
159964.1 135000
159980.4 124000
159998.0 135000
160017.4 152000
160008.4 152400
160016.9 144000
160045.6 235000
159984.4 99600
160007.4 134500
159987.3 107500
159970.0 79000
159989.2 95000
160089.4 225000
160080.7 475000
160097.6 395039
160032.4 144000
160085.1 207500
160081.1 191000
160011.7 149900
160092.3 230000
160103.0 235000
160023.3 136500
160072.0 185000
160087.1 214000
160072.3 186500
160017.7 165000
160023.6 147000
160015.2 118000
159974.8 91900
159994.4 120000
160003.2 135000
159987.5 108000
160021.7 135900
160046.6 161900
160054.5 381000
160040.1 224000
159995.1 116500
160016.2 165500
159971.6 40000
159969.4 80900
160066.0 300000
160087.7 294000
160056.8 150000
160060.6 184000
160082.2 298751
160033.5 160500
159989.0 81000
159975.5 134500
160042.4 172000
160086.0 225000
160060.9 160000
160104.3 349265
160097.3 455000
160046.8 182900
160059.1 192350
160009.6 139000
160054.2 177000
160031.0 155000
159968.2 129250
160087.2 415298
160075.3 380000
160102.2 250000
160109.1 440000
160105.6 281500
160094.9 232698
160066.4 204000
160091.0 209500
160093.5 280000
160079.8 318061
160086.5 178900
160077.8 259000
160066.9 165500
160073.4 466500
160042.8 755000
160109.6 290000
160061.6 213133
160087.8 320000
160105.9 255000
160092.2 147000
160104.4 311872
160093.9 303477
160092.5 310013
160093.7 253000
160023.5 146000
160067.8 179000
160075.0 215000
160013.9 144000
159981.5 132000
160008.6 129000
159988.6 128500
159971.0 125500
160004.5 129000
160087.3 302000
160072.2 207500
160046.5 199900
160056.4 177000
160058.4 187000
160073.1 240050
160022.6 158500
159977.0 127000
160001.2 144000
160012.2 103000
159993.8 139900
159991.6 126500
160030.9 181900
160030.2 137000
159964.3 105000
160020.8 146500
159976.1 141000
160001.6 157900
159962.7 135000
159983.4 115000
159981.5 116900
160001.2 138000
160003.3 128500
159979.0 64500
159988.9 122900
159940.7 119000
159979.7 135000
159961.7 99900
159968.7 100000
160001.4 89471
159955.4 85000
159956.9 108500
159970.6 100000
160020.9 90000
160006.4 117500
160025.6 185000
159952.7 87000
159991.7 128000
159948.2 113000
159976.4 131750
159965.1 132500
159956.1 102000
160022.9 200000
159999.0 180500
159968.1 113000
160050.0 202500
159989.2 141000
159980.9 126000
159969.6 108500
159976.3 130000
160025.1 165000
160029.6 143500
160019.8 112000
160067.6 211000
159964.6 109900
159997.0 154000
160001.2 136500
160050.8 228500
160089.5 301000
160088.2 424870
160075.9 200141
160087.7 155835
160077.9 176432
160053.9 177500
160068.2 175000
160030.1 147900
159984.2 120000
159999.6 122000
160107.9 267000
160101.7 240000
160062.5 173500
160006.4 118500
160045.3 141000
160033.5 157000
159968.3 108500
159977.9 135000
160049.6 239000
159992.0 140000
160054.6 198000
159987.0 152000
160054.3 375000
160021.5 183500
160073.3 215000
160042.6 210000
160076.8 267300
160085.8 248900
160026.6 174000
160047.4 186700
160077.3 392000
160036.9 130000
159986.1 75190
160014.6 153500
160020.1 157000
159983.5 129500
159984.7 139000
160093.1 240000
160089.0 176500
160031.4 130000
160058.0 239000
160088.5 318000
160065.7 190000
160021.6 169000
160060.8 241500
160015.4 155000
159993.1 123000
159992.9 137500
160101.3 412083
160100.7 465000
160093.9 415000
160111.9 275500
160109.6 338500
160097.4 298236
160088.2 332200
160087.0 310090
160079.1 172785
160082.4 185101
160077.4 210250
160073.0 225000
160086.4 192140
160086.5 183200
160081.6 178000
160086.8 287602
160101.0 230000
160086.4 405000
160093.7 252000
160090.1 336820
160071.6 423000
160067.7 198600
160042.7 158000
160088.9 184900
160094.6 187000
160044.9 151000
159999.3 133500
160081.8 334000
160081.9 310000
160093.6 268000
160036.9 149900
160037.1 144152
160045.5 165000
160027.1 165000
160016.9 170000
160024.3 146500
160005.6 135500
160059.7 190000
160044.3 185900
159963.5 129800
159966.0 137000
159979.8 79900
160011.4 146500
160019.0 172000
159978.3 125000
160016.7 159000
159968.9 108480
159977.2 68000
160015.1 80000
160013.4 165000
160014.6 159000
159959.7 115000
159983.6 135000
159964.5 109900
159967.3 146000
159978.8 135000
159996.9 156500
160010.0 111500
159964.5 116000
159962.0 120000
160047.8 475000
160005.9 202500
159972.3 80500
159978.1 149000
159980.9 110500
159957.7 109000
159995.1 117000
159976.6 125500
159987.7 137500
160021.9 158000
159984.1 105000
160013.8 145000
160010.9 164000
160047.2 190000
160010.0 146000
160042.7 274970
160044.4 235000
160070.1 183600
160081.7 193879
160042.5 280000
160038.3 145000
160082.3 187000
160027.8 156000
160082.8 235000
160097.3 217000
160004.8 149900
160086.2 197000
160093.6 200000
160076.7 173900
160030.4 142500
159999.1 116000
159976.7 35000
159980.7 137000
160019.4 160000
159970.4 149000
159989.1 102000
159997.3 167000
160003.0 131000
160020.5 140000
159994.6 194000
160012.6 250000
160031.0 230000
160052.7 217500
159955.2 85000
160054.6 209000
160061.8 250000
160041.0 202000
160090.4 312500
160004.2 81500
159985.6 79500
159991.5 131000
160006.6 132000

Predicción del precio Arbol de desición Tidymodels

Predicción del precio Regularized Regression

Comparativa de resultados